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Finding the Fourth Proportional to 7,610.56, 11,415.85 and 2,416.44

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Solution

The fourth proportional to 7,610.56, 11,415.85 and 2,416.44 is: 3,624.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,610.56 : 11,415.85 = 2,416.44 : x
  2. Step 2: Convert to fraction form
    7,610.56/11,415.85 = 2,416.44/x
  3. Step 3: Cross multiply
    7,610.56x = 11,415.85 × 2,416.44
  4. Step 4: Simplify right side
    7,610.56x = 27,585,716.57
  5. Step 5: Solve for x
    x = 27,585,716.57/7,610.56
  6. Step 6: Final answer
    x = 3,624.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.